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aleksklad [387]
3 years ago
9

12 plus the product of 2 and some number is equal to the product of 4 and some number minus 8 .

Mathematics
2 answers:
geniusboy [140]3 years ago
4 0

Answer:

The number is 10

Step-by-step explanation:

Let x be the number

product is multiply

12 + (2x) = 4x -8

Subtract 2x from each side

12+2x-2x = 4x-2x-8

12 = 2x-8

Add 8 to each side

12+8 = 2x-8+8

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

timofeeve [1]3 years ago
4 0

Answer:

Algebraic expression

12 +2(x) = 4(x)-8

Step-by-step explanation:

Let the unknown number be x

12 +2(x) = 4(x)-8

Further solving

12+2x=4x-8\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\12+2x-12=4x-8-12\\\\Simplify\\2x=4x-20\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\2x-4x=4x-20-4x\\\\Simplify\\-2x=-20\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2x}{-2}=\frac{-20}{-2}\\\\Simpllify\\x =10

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In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
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Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

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According to Law of Sines, we get

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